Question

The area of a triangle is same
as the area of square. If the
area of square is 100 cm² and
the corresponding hieght of
triangle is 5 cm, then base
the triangle is?​

Answer 1

Answer:

Area of a triangle is the same as area of the square.

• Area of the square = 100 cm²

• Corresponding height of the triangle = 5 cm

Step-by-step explanation:

Let the base be "b".

According to the question,

• Area of a triangle is the same as area of the square.

So, linear equation is :

➛ Area of the triangle = Area of the square

Putting the formula of area of both triangle and area of square in LHS and RHS.

➛ \sf { \dfrac{1}{2} }

2

1

× b cm × h cm = Side × Side

➛ \sf { \dfrac{1}{2} }

2

1

× b cm × h cm = 100 cm²

[ As area of the square is given 100 cm². ]

➛ \sf { \dfrac{1}{2} }

2

1

× b cm × 5 cm = 100 cm²

[ As height of the triangle is given 5 cm. ]

Transposing 5 from LHS to RHS

➛ \sf { \dfrac{1}{2} }

2

1

× b cm = \sf {\cancel{\dfrac{100 \: {cm}^{2}}{5 \:cm }} }

5cm

100cm

2

➛ \sf { \dfrac{1}{2} }

2

1

× b cm = 20 cm

Transposing 2 from LHS to RHS.

➛ (1 × b) cm = (20 × 2) cm

➛ b cm = 40 cm

Henceforth, base of the triangle is 40 cm.

Verification :

According to the question,

➛ Area of the triangle = Area of the square

➛ \sf { \dfrac{1}{2} }

2

1

× b cm × h cm = 100 cm²

➛ \sf { \dfrac{1}{2} }

2

1

× 40 cm × 5 cm = 100 cm²

➛ 1 × 20 cm × 5 cm = 100 cm²

➛ 100 cm² = 100 cm²

Answer 2

Answer:

2

Step-by-step explanation:

Area of a triangle is the same as area of the square.

• Area of the square = 100 cm²

• Corresponding height of the triangle = 5 cm

Step-by-step explanation:

Let the base be "b".

According to the question,

• Area of a triangle is the same as area of the square.

So, linear equation is :

➛ Area of the triangle = Area of the square

Putting the formula of area of both triangle and area of square in LHS and RHS.

➛ \sf { \dfrac{1}{2} }

2

1

× b cm × h cm = Side × Side

➛ \sf { \dfrac{1}{2} }

2

1

× b cm × h cm = 100 cm²

[ As area of the square is given 100 cm². ]

➛ \sf { \dfrac{1}{2} }

2

1

× b cm × 5 cm = 100 cm²

[ As height of the triangle is given 5 cm. ]

Transposing 5 from LHS to RHS

➛ \sf { \dfrac{1}{2} }

2

1

× b cm = \sf {\cancel{\dfrac{100 \: {cm}^{2}}{5 \:cm }} }

5cm

100cm